guitar scale
D double harmonic
D1E♭♭2F♯3G4A5B♭♭6C♯7
Two augmented seconds in one scale, one above the tonic and one below the octave.
Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
DHE♭W+HF♯HGWAHB♭W+HC♯HD
What is true of it
D double harmonic is D, E♭, F♯, G, A, B♭ and C♯, and back to D.
Its steps are H – W+H – H – W – H – W+H – H, where W is a whole step and H a half.
On the same tonic, D harmonic major differs from it by exactly one note.
Across the first twelve frets of the guitar its notes fall in 45 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
DmajorDaugaugmentedDmaj7major seventhE♭majorE♭mminorE♭dimdiminishedE♭7dominant seventhE♭maj7major seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on D
D Phrygian dominantexoticD Lydian dominantexoticD alteredexoticD majormajorD natural minorminorD harmonic minorminor
C dbl harmC♯ dbl harmD♭ dbl harmD♯ dbl harmE♭ dbl harmE dbl harmF dbl harmF♯ dbl harmall 374